6. Let \(\vec{r}(t) = (\cos(3t), \sin(3t))\) and \(f(t) = e^{2t}\). Compute \(\frac{d}{dt}(\vec{r}(f(t)))\)
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Step 1
First, we need to find the derivative of 7(t). Using the product rule, we have: 7'(t) = (cos(3t) * 3cos(3t)) - (sin(3t) * 3sin(3t)) = 3cos^2(3t) - 3sin^2(3t) Show more…
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